Answer: The filled out table is shown below in the attached image
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Explanation:
The letters A through J are one way to fill out the table. Though there are other possible orders.
Start at letter A, which is from the fact we have 40 people total
Then move to letter B. This is the total number who like pasta (26)
We have C = A-B = 40-26 = 14 people who don't like pasta
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Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.
F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.
Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.
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So we have these values
A = 40B = 26C = 14D = 21E = 19F = 4G = 17H = 9 J = 10Evaluate the limit with either L'Hôpital's rule or previously learned methods.lim Sin(x)- Tan(x)/ x^3x → 0
Answer:
[tex]\dfrac{-1}{6}[/tex]
Step-by-step explanation:
Given the limit of a function expressed as [tex]\lim_{ x\to \ 0} \dfrac{sin(x)-tan(x)}{x^3}[/tex], to evaluate the following steps must be carried out.
Step 1: substitute x = 0 into the function
[tex]= \dfrac{sin(0)-tan(0)}{0^3}\\= \frac{0}{0} (indeterminate)[/tex]
Step 2: Apply L'Hôpital's rule, by differentiating the numerator and denominator of the function
[tex]= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ sin(x)-tan(x)]}{\frac{d}{dx} (x^3)}\\= \lim_{ x\to \ 0} \dfrac{cos(x)-sec^2(x)}{3x^2}\\[/tex]
Step 3: substitute x = 0 into the resulting function
[tex]= \dfrac{cos(0)-sec^2(0)}{3(0)^2}\\= \frac{1-1}{0}\\= \frac{0}{0} (ind)[/tex]
Step 4: Apply L'Hôpital's rule, by differentiating the numerator and denominator of the resulting function in step 2
[tex]= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ cos(x)-sec^2(x)]}{\frac{d}{dx} (3x^2)}\\= \lim_{ x\to \ 0} \dfrac{-sin(x)-2sec^2(x)tan(x)}{6x}\\[/tex]
[tex]= \dfrac{-sin(0)-2sec^2(0)tan(0)}{6(0)}\\= \frac{0}{0} (ind)[/tex]
Step 6: Apply L'Hôpital's rule, by differentiating the numerator and denominator of the resulting function in step 4
[tex]= \lim_{ x\to \ 0} \dfrac{\frac{d}{dx}[ -sin(x)-2sec^2(x)tan(x)]}{\frac{d}{dx} (6x)}\\= \lim_{ x\to \ 0} \dfrac{[ -cos(x)-2(sec^2(x)sec^2(x)+2sec^2(x)tan(x)tan(x)]}{6}\\\\= \lim_{ x\to \ 0} \dfrac{[ -cos(x)-2(sec^4(x)+2sec^2(x)tan^2(x)]}{6}\\[/tex]
Step 7: substitute x = 0 into the resulting function in step 6
[tex]= \dfrac{[ -cos(0)-2(sec^4(0)+2sec^2(0)tan^2(0)]}{6}\\\\= \dfrac{-1-2(0)}{6} \\= \dfrac{-1}{6}[/tex]
Hence the limit of the function [tex]\lim_{ x\to \ 0} \dfrac{sin(x)-tan(x)}{x^3} \ is \ \dfrac{-1}{6}[/tex].
Look at the correlation between Risk-Taking (R) and Relationship Happiness (HAPPY). Use the standard alpha level of 5%. How would you describe the relationship?
1. The relationship is non-significant.
2. There is a significant negative relationship.
3. There is a significant positive relationship.
4. The correlation is zero.
Image of the correlation between Risk-Taking (R) and Relationship Happiness (HAPPY) is missing, so i have attached it.
Answer:
Option 1 - The relationship is non - significant
Step-by-step explanation:
From the image attached, we can see that under the correlations table;
For correlation between relationship happiness and risk taking;
σ(sigma) = 0.053
Similarly, for correlation between risk taking and relationship happiness;
σ(sigma) = 0.053
.
Now,σ(sigma) = 0.053 is more than the standard alpha level of 5%(0.05). Thus, we fail to reject the null hypothesis since it is non - significant.
What’s the perimeter of the tabletop in feet?
Answer:
Perimeter = 14.0942 ft (aprox)
Step-by-step explanation:
1 ft = 12 inches
1 inch = 1/12 = 0.08333 ft
4 inch = 4*0.08333 = 0.3333 ft
then:
there are:
4 quarters of circle = 4/4 = 1 complete circleperimeter = 2π r
π = 3.1416
r = radius
perimeter = 2*3.1416*0.3333ft
perimeter = 2.0942 ft (aprox)
4 sides (3ft each)perimeter = 4*3ft
perimeter = 12ft
Total perimeter:
2.0942ft +´12ft = 14.0942 ft
PLEASE HELP ME
A map has a scale of
2 in. = 17 mi. If you measured the distance between two cities to
be 19 in. on the map, how many miles would it actually be?
If necessary, round your answer to the nearest tenth.
Answer:
161.5 miles
Step-by-step explanation:
19 inches is 9.5 times 2 inches. So, the actual distance is 9.5 times 17 miles:
9.5 × 17 miles = 161.5 miles
I need help with these questions
Answer:
28. m<A=20°, m<B=70°
32. m<A=103°, m<B=77°
Step-by-step explanation:
complementary angle=a+b=90°
supplementary angle=a+b=180°
28. A+B=90°
5x+17x+2=90°
22x+2=90°
22x=90-2
22x=88
22x/22=88/22
x=88/22=4
m<A=5x=5*4=20°
m<B=17x+2=17*4+2=68+2=70°
Check
A+B=90°
20+70=90°
90°=90°
32. A+B=180°
x+11+x-15=180°
2x-4=180°
2x=180+4
2x=184
2x/2=184/2
x=184/2
x=92
m<A=x+11=92+11=103°
m<B=x-15=92-15=77°
Check
A+B=180°
103+77=180°
180°=180°
Write 80% as a fraction in Simplest form
Answer:
Step-by-step explanation:
80/100 = 8/10= 4/5
1. The average distance from the Earth to the moon is about 384,000 kilometers. What is this number written in scientific notation?
Answer:
3.84 x 10^5
Step-by-step explanation:
Answer:
3.84x10^5
Step-by-step explanation:
count how many times the decimal was moved to the right and that is the exponent
A recipe for chocolate chip cookies calls for 2 2/3 cups of flour. If you are making 1 1/4 recipes how many cups of flour are needed
Use the graph to find the slope. What is the runners speed?
The formula for the slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{20-10}{2-1}[/tex]
[tex]m=\frac{10}{1}[/tex]
[tex]m=10[/tex]
Hope this helps.
頑張って!
Answer:
The answer is 10 minutes per mile!
Step-by-step explanation:
I hope this helped! :)
Brenda received $25 for babysitting for 3 hours. If she is paid proportionally, how much should she get for 7.5 hours?
Answer:
$187.5
Step-by-step explanation:
25 times 7.5 is 187.7
What is the volume of the cube shown?
6 3/4
11 25/64
30 3/8
8 1/64
Please help !
Answer:
11 25/64 in ^3
Step-by-step explanation:
Volume of a cube is given by
V = s^3
s = 2 1/4 = 9/4
V = (9/4) ^3
= 729/64
=11 25/64 in ^3
Explain why the graph of the equation g(x) = -(x + 1 ) - 3 would be a parabola opening downward.
Answer: Because the a-value is negative.
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
"a" is the vertical stretch-a is a reflection over the x-axish is the horizontal shift (positive = right, negative = left)k is the vertical shift (positive = up, negative = down)Given: g(x) = - (x + 1)² - 3
↓
a= -1
Since the a-value is negative, the parabola will be reflected over the x-axis which will change the curve from (U-shaped) to (∩-shaped).
Can someone tell me if I’m right?
Answer:
yesssssssssssssssssssss
2 fraction bars. The first bar is labeled 1 with 8 boxes underneath that are labeled one-eighth. The second bar is labeled 1 with 8 boxes underneath that are labeled one-eighth. Use the drop-down menu to complete the statement. To find the quotient of 2 ÷ 3 8 , circle groups of ------
Answer:
1/3
Step-by-step explanation:
hope this helps
Answer:
It is 3/8
Step-by-step explanation:
I got it right on Edge 2021.
To make fruit salad,Maria bought 2 1/4 pounds of apples,and 1 1/3 pounds.How much fruit salad did this make
Answer:
If this was all the fruit, 3 and 7/12
Step-by-step explanation:
1/4 and 1/3 LCM is 12
1/4=3/12
1/3=4/12
2+1=3
3/12+4/12=7/12
3+7/12= 3 7/12
In a class of 50 statistics students, 27
students received an A. What fraction of the class received an A?
Answer:
Fraction of the number that received an A= = 27/50
Step-by-step explanation:
In a class of 50 statistics students, 27
students received an A.
Total number of students=50
Number that received an A= 27
Fraction of the number that received an A= Number that received an A/Total number of students
Fraction of the number that received an A= = 27/50
Petra is making necklaces to sell at craft. the hardware for each necklace is 3.75 and each bead costs 0.50. The number of beads Petra needs depends on the design she chooses. which expression gives the total cost to make 30 necklaces.
Answer:
T=112.5+0.50*b (since there was not a given number of beads)
2/3 * 9 = ? PLEASE HELP
Answer:
6
Step-by-step explanation:
Simplify. Please provide steps on how to solve so I can learn.
Answer: Choice C
[tex](xy)^{1/2}[/tex] which is equivalent to [tex]\sqrt{xy}[/tex]
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Explanation:
The exponent for the y term inside the parenthesis is 1/6 and then that expression is raised to the 3rd power. The exponents multiply to (1/6)*3 = 3/6 = 1/2
This means [tex]\left(y^{1/6}\right)^3 = y^{1/2}[/tex]
Having an exponent of 1/2 is the same as applying the square root, so,
[tex]\sqrt{x} = x^{1/2}[/tex]
Meaning,
[tex]y^{1/2}\sqrt{x} = y^{1/2}x^{1/2} = (xy)^{1/2} = \sqrt{xy}[/tex]
The value of the digit 9 is ten times as much as the 9 in 893,417.
Answer: 943,212
Step-by-step explanation:
Suppose that you want to know the value of a given digit in a given number, where the digit is x.
Now, you should count the position of this digit, starting at the decimal point and counting to the left.
This position, a number n, will give the value of our digit as:
Value = x*10^(n-1)
in the number 893,417 the digit 9 is in the fifth place (counting from right to left).
Then the value of this 9 is:
9*10^(5 - 1) = 90,000
Now, if we want something ten times larger than this, we have:
N = 10*90,000 = 900,000
Now the 9 is in the sixth place, then we must find a number with a 9 in the sixth place, for example, 943,212.
Which of state of matter has no definite shape but does have a definite volume? (A) Liquid B) Element OC) Solid OD) Gas
Answer:
Liquid
Step-by-step explanation:
solids :have definite shape and definite volume.
Liquids :have definite volume and shape of the container.(or no definite shape)
Gas: has no definite volume and no definite shape.
23^0 is equal to _____. 0 1 1/23 23
Answer:
1
Step-by-step explanation:
Anything to the power is 0 is equal to 1.
Answer:
the answer is 1
Step-by-step explanation:
I NEED HELP PLEASE HELP ME.
Answer:
(a) 8
(b) 6
:>
Can you please please help me with this please it’s so hard and i will give you a branlist
3/8 + 1/8 - 1/6 + 1/4 =
a regular polygon of 2 k + 1 sides has 140 as
size of each interior angle find K
Help i dont understand this someone help me pls :(
Answer:
X=7
Step-by-step explanation:
(2) means time 2 so use 5 times 2 and get 10 and take away 3 you get 7 and 7 is X
to prove I am right use 7x5-3/2=16-3x2=10
hey bro I was joking at first
Answer:
f(2) = 5(2) -3
10 - 3
f(2) = 7
what is 3.825 as a fraction with a guide?
Answer:
153/40
Step-by-step explanation:
The first step to finding the fraction is to get rid of the decimal points as fractions do not have decimals. To do this we can multiply it by 1000 which gives us 3825. To have this equal to the original number we add ÷1000 on the denominator which gives us 3825/1000 which is a fraction still equal to the original number (3825÷1000=3.825). Which can further be simplified to 153/40 (both numbers divisible by 25). This is the simplest fraction which can express the number 3.825 (153/40=3.825).
Hope this helped!
The point (0, –4) is located
I'm going to assume you're asking where the point is located on a coordinate plane.
We have x = 0 and y = -4.
So, we start at (0, 0) and move down 4 units.
Best of Luck!
(-2ab^-5)(4a^-2b)^-2
Answer:
-a^5/(8b^7)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
[tex](-2ab^{-5})(4a^{-2}b)^{-2}=(-2ab^{-5})(4^{-2}a^{-2(-2)}b^{-2})\\\\=\dfrac{-2}{16}a^{1+4}b^{-5-2}=\boxed{-\dfrac{a^5}{8b^7}}[/tex]